Finding the Third Proportional to 21,397.50 and 31,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   21,397.50 : 31,978.13 = 31,978.13 : x
2. Step 2: Convert to fraction form
   21,397.50/31,978.13 = 31,978.13/x
3. Step 3: Cross multiply
   21,397.50x = 31,978.13 × 31,978.13
4. Step 4: Simplify right side
   21,397.50x = 1,022,600,478.52
5. Step 5: Solve for x
   x = 1,022,600,478.52/21,397.50
6. Step 6: Final answer
   x = 47,790.65